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Chapter 4: Problem 37

Convert each angle in radians to degrees. Round to two decimal places. $$\frac{\pi}{13} \text { radians }$$

Short Answer

Expert verified
So, \(\frac{\pi}{13}\) radians is approximately \(13.85^\circ\) degrees.

Step by step solution

01

Identifying the given value

The given angle is \(\frac{\pi}{13}\) radians.
02

Using the conversion factor

The conversion factor from radians to degrees is \(\frac{180}{\pi}\). This is because \(\pi\) radians is equivalent to 180 degrees. Therefore, we multiply the given angle by this conversion factor.
03

Calculation

To find the degree equivalent of \(\frac{\pi}{13}\) radians, multiply the given radian \(\frac{\pi}{13}\) by the conversion factor \(\frac{180}{\pi}\): \[\frac{\pi}{13} \cdot \frac{180}{\pi} = \frac{180}{13}\]
04

Rounding the Result

The final step is to round the obtained result to the nearest two decimal places: \[\frac{180}{13} 鈮� 13.85\]

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Most popular questions from this chapter

Use a graphing utility to graph each pair of functions in the same viewing rectangle. Use a viewing rectangle that shows the graphs for at least two periods. $$y=-3.5 \cos \left(\pi x-\frac{\pi}{6}\right) \text { and } y=-3.5 \sec \left(\pi x-\frac{\pi}{6}\right)$$

Solve: \(x^{2}+4 x+6=0\) (Section \(2.1,\) Example 5 )

Will help you prepare for the material covered in the next section. a. Graph \(y=\tan x\) for \(-\frac{\pi}{2}

Determine whether each statement makes sense or does not make sense, and explain your reasoning. If \(\theta=\frac{3}{2},\) is this angle larger or smaller than a right angle?

Determine whether each statement makes sense or does not make sense, and explain your reasoning. When an angle's measure is given in terms of \(\pi,\) I know that it's measured using radians.
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